Draft: Test q2

Summary by Bito

This pull request introduces binary search implementations in Java (both buggy and fixed versions) and TypeScript modules with API endpoints. It adds list performance tests, migration examples, and demonstrates proper vs improper typecasting practices. The changes focus on improving type safety, error handling, and providing safer data processing routines.

Unit tests added: False

Estimated effort to review (1-5, lower is better): 5